4008732761124 has 729 divisors, whose sum is σ = 13541380805043. Its totient is φ = 996413902848.

The previous prime is 4008732761113. The next prime is 4008732761141. The reversal of 4008732761124 is 4211672378004.

The square root of 4008732761124 is 2002182.

It is a perfect power (a square), and thus also a powerful number.

4008732761124 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 7 + 3 + 2 + 7 + 611 + 24 = 666.

4008732761124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1512206359524 + 2496526401600 = 1229718^2 + 1580040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4008732761124.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 20770635972 + ... + 20770636164.

Almost surely, 2^{4008732761124} is an apocalyptic number.

4008732761124 is the 2002182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4008732761124

4008732761124 is an abundant number, since it is smaller than the sum of its proper divisors (9532648043919).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4008732761124 is a wasteful number, since it uses less digits than its factorization.

4008732761124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

It can be divided in two parts, 4008732 and 761124, that added together give a square (4769856 = 2184²).

The spelling of 4008732761124 in words is "four trillion, eight billion, seven hundred thirty-two million, seven hundred sixty-one thousand, one hundred twenty-four".